Eva H. Loeser

collaborators

3 papers

math.PR2026

Diffusion Limits for Measure-Valued Queueing Models, With Application to General Random Order of Service Queues

Eva H Loeser

Currently, there is no general theory for deriving diffusion approximations of queueing systems with high- or infinite-dimensional state descriptors. In this paper, we explore one…

math.PR2026

Rank Based Routing in Large Server Systems under Extreme Congestion

Sayan Banerjee, Amarjit Budhiraja, Eva Loeser

We study $n$ parallel queues in an extreme heavy-traffic regime: each server works at rate $n$ , while jobs arrive to a dispatcher at rate $n^{2} - (a - b) n$ , with fixed $a > b > 0$ . A…

math.PR2025

Diffusive Scaling limit of stochastic Box-Ball systems and PushTASEP

David Keating, Minjun Kim, Eva Loeser +1

We introduce the Stochastic Box-Ball System (SBBS), a probabilistic cellular automaton that generalizes the classic Takahashi-Satsuma Box-Ball System. In SBBS, particles are transp…